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Finding the Third Proportional to 65,996 and 134,296

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Solution

The third proportional to 65,996 and 134,296 is: 273,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,996 : 134,296 = 134,296 : x
  2. Step 2: Convert to fraction form
    65,996/134,296 = 134,296/x
  3. Step 3: Cross multiply
    65,996x = 134,296 × 134,296
  4. Step 4: Simplify right side
    65,996x = 18,035,415,616
  5. Step 5: Solve for x
    x = 18,035,415,616/65,996
  6. Step 6: Final answer
    x = 273,280.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.